Answer
The full name is tin(IV) chloride.
Work Step by Step
The charge on Sn must be 4+ for the compound to be charge-neutral with four Cl- anions. The name for $SnCl_{4}$is the name of the cation, tin, followed by the charge of the cation in parentheses (IV) and the base name of the anion, chlor, with the ending - ide. The full name is tin(IV) chloride.